It is to be noted that the graph of F(x) = 2 (x – 3) (x + 1) is a parabola that opens upwards.
The vertex, or minimal value of the parabola, is located at (1, -8). At x = 3 and x = -1, the roots or x-intercepts occur.
The vertical line that passes through the vertex, the axis of symmetry, is x = 1. The value 2 shows that the parabola is extended vertically.
The graph is a symmetric U-shaped curve in general, and its properties may be found by examining the vertices, roots, and axis of symmetry.